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Finding the Fourth Proportional to 164,108.84, 226,470.36 and 88,657.40

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Solution

The fourth proportional to 164,108.84, 226,470.36 and 88,657.40 is: 122,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,108.84 : 226,470.36 = 88,657.40 : x
  2. Step 2: Convert to fraction form
    164,108.84/226,470.36 = 88,657.40/x
  3. Step 3: Cross multiply
    164,108.84x = 226,470.36 × 88,657.40
  4. Step 4: Simplify right side
    164,108.84x = 20,078,273,294.66
  5. Step 5: Solve for x
    x = 20,078,273,294.66/164,108.84
  6. Step 6: Final answer
    x = 122,347.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.